Geometrical fuzzy clustering algorithms
โ Scribed by Michael P. Windham
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 564 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
Fuzzy clustering algorithms are a basic tool for cluster analysis. Among these. the geometrical fuzzy clustering algorithms arc used when the clustering problem can he viewed as trying to find linear or ellipsoidal concentrations in data. This paper provides a theoretical framework in which currently used geometrical fuzzy clustering algorithms hccomc special Casey Also. a family of functions called feasible arc defined which can be used to construct <uch algorithms and convcrgencc results arc ohtaincd.
๐ SIMILAR VOLUMES
Objective function-based fuzzy clustering aims at finding a fuzzy partition by optimizing a ลฝ . function that evaluates a fuzzy assignment of a given data set to clusters that are characterized by a set of parameters, the so-called prototypes. The iterative optimization technique usually requires th
Possibilistic clustering is seen increasingly as a suitable means to resolve the limitations resulting from the constraints imposed in the fuzzy C-means algorithm. Studying the metric derived from the covariance matrix we obtain a membership function and an objective function whether the Mahalanobis